To be a member of the choir, you must go to an audition. Henry's cousin is a member of the choir. What conjecture can you make about Henry's cousin?

A.) Henry’s cousin practices with the choir
B.) Henry is in the choir
C.) Henry’s cousin went to an audition

Answer:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

Step-by-step explanation:

Let cost of a candle = [tex]x[/tex]

Let cost of a wallflower = [tex]y[/tex]

Let cost of a lotion = [tex]z[/tex]

Cost of 4 candles = 4[tex]x[/tex]

Cost of 5 wallflowers = 5[tex]y[/tex]

Cost of 6 lotions = 6[tex]z[/tex]

Cost of 2 candles = 2[tex]x[/tex]

Cost of 3 wallflowers = 3[tex]y[/tex]

Cost of 1 lotion = [tex]z[/tex]

As per question statement:

[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]

Using equation (3) in (1) and (2), the equations get reduced to :

[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]

Multiplying (5) with 2 and subtracting from equation (1):

[tex]7y = 35\\\Rightarrow y = 5[/tex]

By equation (3):

[tex]\Rightarrow z =8[/tex]

By equation (4):

[tex]\Rightarrow x = 12.5[/tex]

Therefore, the answer is:

Price of Candle: 12.5

Price Wallflower: 5

Price of Lotion: 8

Answer:

um in languages or different angles

Step-by-step explanation:

Answer:

330cm^3

Step-by-step explanation:

22 only has 2 factors 11&2. So take 11•2•15=330 Doing it as 22•1•15 works as well.

Answer:(1, 1)

Step-by-step explanation:

u just move it 4 left and 3 up cuz x is left and right and its negative so left, then y is up and down and it's positive so up

Answer:

[tex]Width = 5x + 1[/tex]

Step-by-step explanation:

Given

[tex]Area = 10x^2 + 5x[/tex]

[tex]Length = 5x[/tex]

Required (Missing)

Determine the Width?

Area is calculated as:

[tex]Area = Length * Width[/tex]

Substitute values for Area and Length

[tex]10x^2 + 5x = 5x * Width[/tex]

Factorize the right hand side

[tex]5x(5x + 1) = 5x * Width[/tex]

Divide both sides by 5x

[tex]5x + 1 = Width[/tex]

Hence, the width of the model is 5x + 1

Answer:

The answer is 286.

Explanation:

We first find the first term of the sequence, a₁. We use the explicit formula for an arithmetic sequence to do this:

We know the 6th term is 22; this means we substitute 6 in for n. We also know the common difference is 6, so we use that for d. That gives us a₆=a₁+6(6-1).

We know the value of the sixth term is 22, so we use that instead of a₆:

22=a₁+6(6-1).

Evaluating this, we have

22=a₁+6(5)

22=a₁+30.

Subtract 30 from both sides, and we have

22-30=a₁

-8=a₁.

We now use this value in our explicit formula:

To find the fiftieth term we replace n with 50:

a₅₀= -8+6(50-1)

a₅₀= -8+6(49)

a₅₀= -8+294

a₅₀=286

Answer:

#1

#2

#3

#4

Step-by-step explanation:

Hope this helps

The probability that the team will win the second game given that they have already won the first game is 7/10

Event win in the 1st game is represented with A

Event win in the 2nd game is represented with B

In the question

i. The probability that they will win both games is P(AnB) = 42%

ii. The probability that they will win the first game is P(A) = 60%

The probability that the team will win the second game given that they have already won the first game is:

P(B/A) = P(BnA) / P(A)

P(B/A) = P(AnB) / P(A)

From the question

P(B/A) = 42% / 60%

P(B/A) = 0.42 / 0.60

P(B/A) = 7/10

In conclusion: The probability that the team will win the second game given that they have already won the first game is 7/10

See related question here https://brainly.com/question/23423241

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

y = 7x - 8 → (1)

y = 5x - 2 → (2)

A

Solving by substitution

Substitute y = 7x - 8 into (1)

7x - 8 = 5x - 2 ( subtract 5x from both sides )

2x - 8 = - 2 ( add 8 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(3) - 8 = 21 - 8 = 13

Solution is (3, 13 )

B

The point of intersection of the graph of the 2 equations is the solution to the above equations.

That is point of intersection = (3, 13 )

3 ft

Step-by-step explanation:

Answer:

dividend is 30

divisor is 6

Step-by-step explanation:

Answer:

y = -3x + 10

Step-by-step explanation:

y = mx + b

plug in numbers to the equation

1 = (-3)(-3) + b

multiply the slope -3 and -3

1 = (9) + b

subtract 9 from both sides

-8 = b

Now plug in the slope and b

y = -3x - 8

Answer:

The equation I got was y= 3x + 10

Step-by-step explanation:

All you need to do is use the formula y= mx + b.

Answer:

Step-by-step explanation:

Perimeter is:

Comparing the value:

Are formula:

Replacing values:

Answer:

60cm²

Step-by-step explanation:

To find :-

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

Answer:

is there a picture????

Answer:

angle t is 55 degrees

Step-by-step explanation:

Here's my work:

Isoscelese means two of the same length sides. A triangle is 180 degrees. 180-70=110

110/2=55 (two because those are the two angles associated with the equal sides)

Answer:

Step-by-step explanation:

If two lines are perpendicular then the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = 14x - 2   ⇒   m₁=14

14×m₂ = -1        ⇒    m₂ = -¹/₁₄

The line y=-¹/₁₄x+b passes through point (3, 3) so the equation:

3 = -¹/₁₄×3 + b must be true

3 = -³/₁₄ + b

b = 3³/₁₄

Therefore equation in  slope-intercept form:

                                                y = -¹/₁₄x + 3³/₁₄

Answer: tell him " your way doesnt work many people have the same issue so im doing it my way"

Step-by-step explanation:thats job done

Answer:

x intercept: (4,0)

y intercept: (0,2 1/2)

Step-by-step explanation:

x intercept is (4, 0) and y intercept is (0,5/2) of the graph of 5x+8y=20

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

5x+8y=20

8y=-5x+20

Divide both sides by 8

y=-5/8x+20/8

y=-5/8x+5/2

Now put x=0 to find y intercept

y=5/2

Now put y=0 to find x intercept

-5/2=-5/8x

4=x

Hence, x intercept is (4, 0) and y intercept is (0,5/2).

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

81

Step-by-step explanation:

[tex] \sqrt{x} + 3 = 12 \\ \\ \sqrt{x} = 12 - 3 \\ \\ \sqrt{x} = 9 \\ \\ {( \sqrt{x} )}^{2} = {(9)}^{2} \\ \\ x = 81[/tex]

81 is the  solution to the equation √x+3=12

Two or more expressions with an Equal sign is called as Equation.

The given equation is √x+3=12

Square root of x plus three equal to twelve

√x+3=12

Subtract three from both sides

√x+3-3=12-3

√x=9

Square on both sides

√x²=9²

The root and square will gets cancelled

x=81

Hence, 81 is the  solution to the equation √x+3=12

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

Answer:

-2x+9

This is the answer you are looking for

YOUR WELCOME! :D

Answer:

25 is a rational number

Step-by-step explanation:

This is because, a rational number needs to be in p/q form, where q ≠ 0

This is possible for 25, 25 in p/q form =

25/1

If my answer helped, kindly makr me as the brainliest!!

Thank You!!

Answer: H - 50%

Step-by-step explanation:

The percentage markup on the textbook on the given percentage will be 50%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of a textbook = $28

Selling price = $42

% markup = (42 - 28)/28 x 100 = 50%

Hence "The percentage markup on the textbook on the given percentage will be 50%".

For more about the percentage,

brainly.com/question/13450942

#SPJ2

Ok y is your y value from any point on the graph m is your slope x is the x value of any point from the graph and b is your y intercept that is where the line cross in the y line that is the vertical line in the graph

Answer:

As simple as possible, it's a form of linear equations.

Step-by-step explanation:

The formula, y = mx + b, can be dissected to get the slope and y-intercept of a linear equation where:

  m = slope

  b = y-intercept

  (x and y can be substituted for any point)

If you have any more questions, feel free to ask. Hope this helps!

Answer:

It would be D

Step-by-step explanation:

Step-by-step explanation:

[tex]\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}[/tex]

[tex]\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16[/tex]

Answer:

Step-by-step explanation:

z = whole root (x^2 + 9)

Answer:

x=-28

Step-by-step explanation:

Subtract 19 from both sides.

-9 -19 = -28

Answer:

-28

Step-by-step explanation:

you need to get x by itself, so subtract 19 on each side. -9-19= -28